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22151322240 = 273511537147
BaseRepresentation
bin10100101000010100…
…100101101010000000
32010011202121202120020
4110220110211222000
5330331214302430
614102015413440
71412634063255
oct245024455200
963152552506
1022151322240
119437931293
124362524280
1321202c4988
141101cd142c
15899a6eb10
hex528525a80

22151322240 has 64 divisors (see below), whose sum is σ = 70607345760. Its totient is φ = 5907018752.

The previous prime is 22151322239. The next prime is 22151322257. The reversal of 22151322240 is 4222315122.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a self number, because there is not a number n which added to its sum of digits gives 22151322240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5766654 + ... + 5770493.

Almost surely, 222151322240 is an apocalyptic number.

22151322240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22151322240 is an abundant number, since it is smaller than the sum of its proper divisors (48456023520).

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

22151322240 is a wasteful number, since it uses less digits than its factorization.

22151322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11537169 (or 11537157 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 22151322240 its reverse (4222315122), we get a palindrome (26373637362).

The spelling of 22151322240 in words is "twenty-two billion, one hundred fifty-one million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 11537147 23074294 34611441 46148588 57685735 69222882 92297176 115371470 138445764 173057205 184594352 230742940 276891528 346114410 369188704 461485880 553783056 692228820 738377408 922971760 1107566112 1384457640 1476754816 1845943520 2215132224 2768915280 3691887040 4430264448 5537830560 7383774080 11075661120 22151322240