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228742197624 = 23327940214873
BaseRepresentation
bin1101010100001000011…
…0001111000101111000
3210212102102210121101100
43111002012033011320
512221431000310444
6253025511051400
722345305412353
oct3250206170570
9725372717340
10228742197624
1189011009736
12383b9370b60
1318754c321c5
14b0dd47129a
155e3b945e69
hex354218f178

228742197624 has 48 divisors (see below), whose sum is σ = 627352034400. Its totient is φ = 75282240384.

The previous prime is 228742197611. The next prime is 228742197637. The reversal of 228742197624 is 426791247822.

228742197624 is a `hidden beast` number, since 2 + 2 + 8 + 7 + 4 + 2 + 1 + 9 + 7 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (228742197611) and next prime (228742197637).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20101749 + ... + 20113124.

It is an arithmetic number, because the mean of its divisors is an integer number (13069834050).

Almost surely, 2228742197624 is an apocalyptic number.

228742197624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228742197624 is an abundant number, since it is smaller than the sum of its proper divisors (398609836776).

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

228742197624 is a wasteful number, since it uses less digits than its factorization.

228742197624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40214964 (or 40214957 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 228742197624 in words is "two hundred twenty-eight billion, seven hundred forty-two million, one hundred ninety-seven thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 5688 40214873 80429746 120644619 160859492 241289238 321718984 361933857 482578476 723867714 965156952 1447735428 2895470856 3176974967 6353949934 9530924901 12707899868 19061849802 25415799736 28592774703 38123699604 57185549406 76247399208 114371098812 228742197624