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115222272 = 2831123593
BaseRepresentation
bin1101101111000…
…10011100000000
322000210220020120
412313202130000
5213444103042
615233340240
72566241664
oct667423400
9260726216
10115222272
115a049220
1232707680
131ab43379
14114348a4
15a1aedec
hex6de2700

115222272 has 144 divisors (see below), whose sum is σ = 349671168. Its totient is φ = 33341440.

The previous prime is 115222271. The next prime is 115222273. The reversal of 115222272 is 272222511.

It is an interprime number because it is at equal distance from previous prime (115222271) and next prime (115222273).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115222271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194008 + ... + 194600.

It is an arithmetic number, because the mean of its divisors is an integer number (2428272).

Almost surely, 2115222272 is an apocalyptic number.

115222272 is a gapful number since it is divisible by the number (12) 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 115222272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174835584).

115222272 is an abundant number, since it is smaller than the sum of its proper divisors (234448896).

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

115222272 is a wasteful number, since it uses less digits than its factorization.

115222272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 632 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 115222272 is about 10734.1637773978. The cubic root of 115222272 is about 486.6075147556.

Adding to 115222272 its reverse (272222511), we get a palindrome (387444783).

The spelling of 115222272 in words is "one hundred fifteen million, two hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 256 264 276 352 368 384 506 528 552 593 704 736 759 768 1012 1056 1104 1186 1408 1472 1518 1779 2024 2112 2208 2372 2816 2944 3036 3558 4048 4224 4416 4744 5888 6072 6523 7116 8096 8448 8832 9488 12144 13046 13639 14232 16192 17664 18976 19569 24288 26092 27278 28464 32384 37952 39138 40917 48576 52184 54556 56928 64768 75904 78276 81834 97152 104368 109112 113856 150029 151808 156552 163668 194304 208736 218224 227712 300058 313104 327336 417472 436448 450087 455424 600116 626208 654672 834944 872896 900174 1200232 1252416 1309344 1669888 1745792 1800348 2400464 2504832 2618688 3491584 3600696 4800928 5009664 5237376 7201392 9601856 10474752 14402784 19203712 28805568 38407424 57611136 115222272