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23247874232 = 2311319151761
BaseRepresentation
bin10101101001101011…
…100110100010111000
32020000011222101002222
4111221223212202320
5340102423433412
614402510343212
71452050445662
oct255153464270
966004871088
1023247874232
11994a901000
1246097bab08
1322665390cb
1411a77b3532
15910e74072
hex569ae68b8

23247874232 has 128 divisors (see below), whose sum is σ = 50869900800. Its totient is φ = 9931680000.

The previous prime is 23247874219. The next prime is 23247874241.

23247874232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30548732 + ... + 30549492.

It is an arithmetic number, because the mean of its divisors is an integer number (397421100).

Almost surely, 223247874232 is an apocalyptic number.

23247874232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23247874232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25434950400).

23247874232 is an abundant number, since it is smaller than the sum of its proper divisors (27622026568).

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

23247874232 is a wasteful number, since it uses less digits than its factorization.

23247874232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 944 counting only the distinct ones).

The product of its digits is 903168, while the sum is 44.

The spelling of 23247874232 in words is "twenty-three billion, two hundred forty-seven million, eight hundred seventy-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 151 152 209 242 302 418 484 604 761 836 968 1208 1331 1522 1661 1672 2299 2662 2869 3044 3322 4598 5324 5738 6088 6644 8371 9196 10648 11476 13288 14459 16742 18271 18392 22952 25289 28918 31559 33484 36542 50578 57836 63118 66968 73084 92081 101156 114911 115672 126236 146168 159049 184162 200981 202312 229822 252472 318098 347149 368324 401962 459644 636196 694298 736648 803924 919288 1012891 1264021 1272392 1388596 1607848 1749539 2025782 2183309 2528042 2777192 3499078 3818639 4051564 4366618 5056084 6998156 7637278 8103128 8733236 10112168 13904231 13996312 15274556 17466472 19244929 24016399 27808462 30549112 38489858 48032798 55616924 76979716 96065596 111233848 152946541 153959432 192131192 264180389 305893082 528360778 611786164 1056721556 1223572328 2113443112 2905984279 5811968558 11623937116 23247874232