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228701952 = 2832175839
BaseRepresentation
bin11011010000110…
…11011100000000
3120221100021002200
431220123130000
5432021430302
634405513200
75444635353
oct1550333400
9527307080
10228701952
11108107186
1264712800
13384c64cb
142253429a
151512881c
hexda1b700

228701952 has 108 divisors (see below), whose sum is σ = 698312160. Its totient is φ = 71737344.

The previous prime is 228701933. The next prime is 228701959. The reversal of 228701952 is 259107822.

It is a super-2 number, since 2×2287019522 = 104609165697220608, which contains 22 as substring.

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 (228701959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36249 + ... + 42087.

Almost surely, 2228701952 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 228701952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349156080).

228701952 is an abundant number, since it is smaller than the sum of its proper divisors (469610208).

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

228701952 is a wasteful number, since it uses less digits than its factorization.

228701952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5878 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 228701952 is about 15122.8949609524. The cubic root of 228701952 is about 611.5377773486.

The spelling of 228701952 in words is "two hundred twenty-eight million, seven hundred one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1088 1152 1224 1632 2176 2304 2448 3264 4352 4896 5839 6528 9792 11678 13056 17517 19584 23356 35034 39168 46712 52551 70068 93424 99263 105102 140136 186848 198526 210204 280272 297789 373696 397052 420408 560544 595578 747392 794104 840816 893367 1121088 1191156 1494784 1588208 1681632 1786734 2242176 2382312 3176416 3363264 3573468 4484352 4764624 6352832 6726528 7146936 9529248 12705664 13453056 14293872 19058496 25411328 28587744 38116992 57175488 76233984 114350976 228701952