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272231305380 = 22335504132047
BaseRepresentation
bin1111110110001001000…
…0000001000010100100
3222000200021020011221000
43331202100001002210
513430012203233010
6325021125353300
725445100626106
oct3754220010244
9860607204830
10272231305380
11a54a8525001
1244915868830
131c895b09368
14d2671a3576
1571348d77c0
hex3f624010a4

272231305380 has 48 divisors (see below), whose sum is σ = 846941840640. Its totient is φ = 72595014624.

The previous prime is 272231305343. The next prime is 272231305427. The reversal of 272231305380 is 83503132272.

272231305380 is a `hidden beast` number, since 2 + 72 + 23 + 1 + 30 + 538 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252065484 + ... + 252066563.

It is an arithmetic number, because the mean of its divisors is an integer number (17644621680).

Almost surely, 2272231305380 is an apocalyptic number.

272231305380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272231305380 is an abundant number, since it is smaller than the sum of its proper divisors (574710535260).

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

272231305380 is a wasteful number, since it uses less digits than its factorization.

272231305380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504132065 (or 504132057 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

It can be divided in two parts, 27223130 and 5380, that added together give a triangular number (27228510 = T7379).

The spelling of 272231305380 in words is "two hundred seventy-two billion, two hundred thirty-one million, three hundred five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 504132047 1008264094 1512396141 2016528188 2520660235 3024792282 4537188423 5041320470 6049584564 7561980705 9074376846 10082640940 13611565269 15123961410 18148753692 22685942115 27223130538 30247922820 45371884230 54446261076 68057826345 90743768460 136115652690 272231305380