Search a number
-
+
22157651072 = 275922232
BaseRepresentation
bin10100101000101100…
…101110110010000000
32010012012112022002102
4110220230232302000
5330334324313242
614102403205532
71413041632544
oct245054566200
963165468072
1022157651072
119440464227
1243646768a8
1321216cc54b
141102a9ba24
1589a3bee32
hex528b2ec80

22157651072 has 72 divisors (see below), whose sum is σ = 45105311115. Its totient is φ = 10842210048.

The previous prime is 22157650993. The next prime is 22157651077. The reversal of 22157651072 is 27015675122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11078825536 + 11078825536 = 105256^2 + 105256^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105256.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22157651077) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 99361553 + ... + 99361775.

Almost surely, 222157651072 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 22157651072

22157651072 is an abundant number, since it is smaller than the sum of its proper divisors (22947660043).

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

22157651072 is an frugal number, since it uses more digits than its factorization.

22157651072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The spelling of 22157651072 in words is "twenty-two billion, one hundred fifty-seven million, six hundred fifty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 32 59 64 118 128 223 236 446 472 892 944 1784 1888 3481 3568 3776 6962 7136 7552 13157 13924 14272 26314 27848 28544 49729 52628 55696 99458 105256 111392 198916 210512 222784 397832 421024 445568 776263 795664 842048 1552526 1591328 1684096 2934011 3105052 3182656 5868022 6210104 6365312 11736044 12420208 23472088 24840416 46944176 49680832 93888352 99361664 173106649 187776704 346213298 375553408 692426596 1384853192 2769706384 5539412768 11078825536 22157651072