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22254378224 = 24131715740087
BaseRepresentation
bin10100101110011101…
…101101110011110000
32010102221112112210112
4110232131231303300
5331034110100344
614120140320452
71415325044111
oct245635556360
963387475715
1022254378224
11949001a821
124390b43128
132138768450
14111187a208
158a3b29c9e
hex52e76dcf0

22254378224 has 80 divisors (see below), whose sum is σ = 49480458048. Its totient is φ = 9605246976.

The previous prime is 22254378221. The next prime is 22254378227. The reversal of 22254378224 is 42287345222.

It is an interprime number because it is at equal distance from previous prime (22254378221) and next prime (22254378227).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22254378221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535109 + ... + 575195.

Almost surely, 222254378224 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 22254378224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24740229024).

22254378224 is an abundant number, since it is smaller than the sum of its proper divisors (27226079824).

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

22254378224 is a wasteful number, since it uses less digits than its factorization.

22254378224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40282 (or 40276 counting only the distinct ones).

The product of its digits is 430080, while the sum is 41.

The spelling of 22254378224 in words is "twenty-two billion, two hundred fifty-four million, three hundred seventy-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 157 208 221 272 314 442 628 884 1256 1768 2041 2512 2669 3536 4082 5338 8164 10676 16328 21352 32656 34697 40087 42704 69394 80174 138788 160348 277576 320696 521131 555152 641392 681479 1042262 1362958 2084524 2725916 4169048 5451832 6293659 8338096 8859227 10903664 12587318 17718454 25174636 35436908 50349272 70873816 81817567 100698544 106992203 141747632 163635134 213984406 327270268 427968812 654540536 855937624 1309081072 1390898639 1711875248 2781797278 5563594556 11127189112 22254378224