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2200224048 = 2431117214419
BaseRepresentation
bin1000001100100100…
…1100000100110000
312200100002221222120
42003021030010300
514001224132143
61002154234240
7105344411241
oct20311140460
95610087876
102200224048
11a29a72990
12514a25980
13290aac629
1416c2d8cc8
15cd263383
hex8324c130

2200224048 has 120 divisors (see below), whose sum is σ = 6587286720. Its totient is φ = 627471360.

The previous prime is 2200224011. The next prime is 2200224049. The reversal of 2200224048 is 8404220022.

It is a super-2 number, since 2×22002240482 = 9681971722795012608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2200224049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145383 + ... + 159801.

It is an arithmetic number, because the mean of its divisors is an integer number (54894056).

Almost surely, 22200224048 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 2200224048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293643360).

2200224048 is an abundant number, since it is smaller than the sum of its proper divisors (4387062672).

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

2200224048 is a wasteful number, since it uses less digits than its factorization.

2200224048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14475 (or 14452 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2200224048 is about 46906.5458971347. The cubic root of 2200224048 is about 1300.6355960970.

The spelling of 2200224048 in words is "two billion, two hundred million, two hundred twenty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 289 374 408 528 561 578 748 816 867 1122 1156 1496 1734 2244 2312 2992 3179 3468 4488 4624 6358 6936 8976 9537 12716 13872 14419 19074 25432 28838 38148 43257 50864 57676 76296 86514 115352 152592 158609 173028 230704 245123 317218 346056 475827 490246 634436 692112 735369 951654 980492 1268872 1470738 1903308 1960984 2537744 2696353 2941476 3806616 3921968 4167091 5392706 5882952 7613232 8089059 8334182 10785412 11765904 12501273 16178118 16668364 21570824 25002546 32356236 33336728 43141648 45838001 50005092 64712472 66673456 91676002 100010184 129424944 137514003 183352004 200020368 275028006 366704008 550056012 733408016 1100112024 2200224048