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230202222202032 = 24337129618368357
BaseRepresentation
bin110100010101111000100001…
…101011100100110010110000
31010012002010011200002001122220
4310111320201223210302300
5220133113122340431112
62133333235124201040
766326363444250123
oct6425704153446260
91105063150061586
10230202222202032
116739323a089903
122199a896539180
139b5ac90223432
1440bbbc026c3ba
151b9314c44298c
hexd15e21ae4cb0

230202222202032 has 40 divisors (see below), whose sum is σ = 610761751702896. Its totient is φ = 74660180173056.

The previous prime is 230202222201997. The next prime is 230202222202063.

230202222202032 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 230202222201993 and 230202222202011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64809182403 + ... + 64809185954.

Almost surely, 2230202222202032 is an apocalyptic number.

It is an amenable number.

230202222202032 is an abundant number, since it is smaller than the sum of its proper divisors (380559529500864).

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

230202222202032 is a wasteful number, since it uses less digits than its factorization.

230202222202032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129618368405 (or 129618368399 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The spelling of 230202222202032 in words is "two hundred thirty trillion, two hundred two billion, two hundred twenty-two million, two hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 129618368357 259236736714 388855105071 518473473428 777710210142 1036946946856 1555420420284 2073893893712 3110840840568 4795879629209 6221681681136 9591759258418 14387638887627 19183518516836 28775277775254 38367037033672 57550555550508 76734074067344 115101111101016 230202222202032