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228493455432 = 2331117197258437
BaseRepresentation
bin1101010011001101000…
…1010111000001001000
3210211210002202012020120
43110303101113001020
512220423311033212
6252545103423240
722336165216434
oct3246321270110
9724702665216
10228493455432
11889a3664a80
1238349bb4b20
1318715540188
14b0b84019c4
155e24bae88c
hex3533457048

228493455432 has 128 divisors (see below), whose sum is σ = 663172583040. Its totient is φ = 64836423680.

The previous prime is 228493455389. The next prime is 228493455433. The reversal of 228493455432 is 234554394822.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (228493455433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754918 + ... + 1013354.

It is an arithmetic number, because the mean of its divisors is an integer number (5181035805).

Almost surely, 2228493455432 is an apocalyptic number.

228493455432 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 228493455432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331586291520).

228493455432 is an abundant number, since it is smaller than the sum of its proper divisors (434679127608).

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

228493455432 is a wasteful number, since it uses less digits than its factorization.

228493455432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258671 (or 258667 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 51.

It can be divided in two parts, 2284934 and 55432, that added together give a triangular number (2340366 = T2163).

The spelling of 228493455432 in words is "two hundred twenty-eight billion, four hundred ninety-three million, four hundred fifty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 197 204 264 374 394 408 561 591 748 788 1122 1182 1496 1576 2167 2244 2364 3349 4334 4488 4728 6501 6698 8668 10047 13002 13396 17336 20094 26004 26792 36839 40188 52008 73678 80376 110517 147356 221034 258437 294712 442068 516874 775311 884136 1033748 1550622 2067496 2842807 3101244 4393429 5685614 6202488 8528421 8786858 11371228 13180287 17056842 17573716 22742456 26360574 34113684 35147432 48327719 50912089 52721148 68227368 96655438 101824178 105442296 144983157 152736267 193310876 203648356 289966314 305472534 386621752 407296712 560032979 579932628 610945068 865505513 1120065958 1159865256 1221890136 1680098937 1731011026 2240131916 2596516539 3360197874 3462022052 4480263832 5193033078 6720395748 6924044104 9520560643 10386066156 13440791496 19041121286 20772132312 28561681929 38082242572 57123363858 76164485144 114246727716 228493455432