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23271417232 = 2471753230611
BaseRepresentation
bin10101101011000101…
…011010010110010000
32020001211021111000221
4111223011122112100
5340124440322412
614405111122424
71452454532320
oct255305322620
966054244027
1023271417232
119962121228
124615673414
13226b39008b
1411aa981280
15913074b07
hex56b15a590

23271417232 has 80 divisors (see below), whose sum is σ = 55590406272. Its totient is φ = 9209640960.

The previous prime is 23271417209. The next prime is 23271417277.

23271417232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 14394 + ... + 216217.

Almost surely, 223271417232 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 23271417232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27795203136).

23271417232 is an abundant number, since it is smaller than the sum of its proper divisors (32318989040).

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

23271417232 is a wasteful number, since it uses less digits than its factorization.

23271417232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230696 (or 230690 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The spelling of 23271417232 in words is "twenty-three billion, two hundred seventy-one million, four hundred seventeen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 53 56 68 106 112 119 136 212 238 272 371 424 476 742 848 901 952 1484 1802 1904 2968 3604 5936 6307 7208 12614 14416 25228 50456 100912 230611 461222 922444 1614277 1844888 3228554 3689776 3920387 6457108 7840774 12222383 12914216 15681548 24444766 25828432 27442709 31363096 48889532 54885418 62726192 85556681 97779064 109770836 171113362 195558128 207780511 219541672 342226724 415561022 439083344 684453448 831122044 1368906896 1454463577 1662244088 2908927154 3324488176 5817854308 11635708616 23271417232