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149207220 = 2232561107127
BaseRepresentation
bin10001110010010…
…11100010110100
3101101202111211100
420321023202310
5301144112340
622450010100
73461145321
oct1071134264
9341674740
10149207220
1177250658
1241b76930
1324bb20c6
1415b5db48
15d174830
hex8e4b8b4

149207220 has 144 divisors (see below), whose sum is σ = 467970048. Its totient is φ = 38465280.

The previous prime is 149207207. The next prime is 149207231. The reversal of 149207220 is 22702941.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1174797 + ... + 1174923.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792).

Almost surely, 2149207220 is an apocalyptic number.

149207220 is a gapful number since it is divisible by the number (10) 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 149207220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

149207220 is an abundant number, since it is smaller than the sum of its proper divisors (318762828).

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

149207220 is a wasteful number, since it uses less digits than its factorization.

149207220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 149207220 is about 12215.0407285445. The cubic root of 149207220 is about 530.3915701314.

The spelling of 149207220 in words is "one hundred forty-nine million, two hundred seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 107 122 127 180 183 214 244 254 305 321 366 381 428 508 535 549 610 635 642 732 762 915 963 1070 1098 1143 1220 1270 1284 1524 1605 1830 1905 1926 2140 2196 2286 2540 2745 3210 3660 3810 3852 4572 4815 5490 5715 6420 6527 7620 7747 9630 10980 11430 13054 13589 15494 19260 19581 22860 23241 26108 27178 30988 32635 38735 39162 40767 46482 54356 58743 65270 67945 69723 77470 78324 81534 92964 97905 116205 117486 122301 130540 135890 139446 154940 163068 195810 203835 232410 234972 244602 271780 278892 293715 348615 391620 407670 464820 489204 587430 611505 697230 815340 828929 1174860 1223010 1394460 1657858 2446020 2486787 3315716 4144645 4973574 7460361 8289290 9947148 12433935 14920722 16578580 24867870 29841444 37301805 49735740 74603610 149207220