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228268152 = 23337223677
BaseRepresentation
bin11011001101100…
…01100001111000
3120220112020001000
431212301201320
5431414040102
634352325000
75441150550
oct1546614170
9526466030
10228268152
11107940272
1264543760
13383a3c18
1422460160
151509001c
hexd9b1878

228268152 has 128 divisors (see below), whose sum is σ = 728985600. Its totient is φ = 64831104.

The previous prime is 228268151. The next prime is 228268219. The reversal of 228268152 is 251862822.

228268152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228268151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336838 + ... + 337514.

It is an arithmetic number, because the mean of its divisors is an integer number (5695200).

Almost surely, 2228268152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228268152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364492800).

228268152 is an abundant number, since it is smaller than the sum of its proper divisors (500717448).

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

228268152 is a wasteful number, since it uses less digits than its factorization.

228268152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 912 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 228268152 is about 15108.5456613137. The cubic root of 228268152 is about 611.1508793318.

The spelling of 228268152 in words is "two hundred twenty-eight million, two hundred sixty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 223 252 378 446 504 669 677 756 892 1338 1354 1512 1561 1784 2007 2031 2676 2708 3122 4014 4062 4683 4739 5352 5416 6021 6093 6244 8028 8124 9366 9478 12042 12186 12488 14049 14217 16056 16248 18279 18732 18956 24084 24372 28098 28434 36558 37464 37912 42147 42651 48168 48744 56196 56868 73116 84294 85302 112392 113736 127953 146232 150971 168588 170604 255906 301942 337176 341208 452913 511812 603884 905826 1023624 1056797 1207768 1358739 1811652 2113594 2717478 3170391 3623304 4076217 4227188 5434956 6340782 8152434 8454376 9511173 10869912 12681564 16304868 19022346 25363128 28533519 32609736 38044692 57067038 76089384 114134076 228268152