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210131152 = 247111779127
BaseRepresentation
bin11001000011001…
…01100011010000
3112122101202202021
430201211203100
5412243144102
632503501224
75131041160
oct1441454320
9478352667
10210131152
11a8682710
125a457814
13346c377a
141dc9c5a0
15136ab137
hexc8658d0

210131152 has 160 divisors (see below), whose sum is σ = 548536320. Its totient is φ = 75479040.

The previous prime is 210131149. The next prime is 210131171. The reversal of 210131152 is 251131012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1654513 + ... + 1654639.

It is an arithmetic number, because the mean of its divisors is an integer number (3428352).

Almost surely, 2210131152 is an apocalyptic number.

210131152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210131152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274268160).

210131152 is an abundant number, since it is smaller than the sum of its proper divisors (338405168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210131152 is a wasteful number, since it uses less digits than its factorization.

210131152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 210131152 is about 14495.9012137914. The cubic root of 210131152 is about 594.5159087718.

Adding to 210131152 its reverse (251131012), we get a palindrome (461262164).

The spelling of 210131152 in words is "two hundred ten million, one hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 79 88 112 119 127 136 154 158 176 187 238 254 272 308 316 374 476 508 553 616 632 748 869 889 952 1016 1106 1232 1264 1309 1343 1397 1496 1738 1778 1904 2032 2159 2212 2618 2686 2794 2992 3476 3556 4318 4424 5236 5372 5588 6083 6952 7112 8636 8848 9401 9779 10033 10472 10744 11176 12166 13904 14224 14773 15113 17272 18802 19558 20066 20944 21488 22352 23749 24332 29546 30226 34544 37604 39116 40132 47498 48664 59092 60452 70231 75208 78232 80264 94996 97328 103411 110363 118184 120904 140462 150416 156464 160528 166243 170561 189992 206822 220726 236368 241808 280924 332486 341122 379984 413644 441452 561848 664972 682244 772541 827288 882904 1123696 1193927 1329944 1364488 1545082 1654576 1765808 1876171 2387854 2659888 2728976 3090164 3752342 4775708 6180328 7504684 9551416 12360656 13133197 15009368 19102832 26266394 30018736 52532788 105065576 210131152