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22151427440 = 2456731713037
BaseRepresentation
bin10100101000010100…
…111111010101110000
32010011202211002212112
4110220110333111300
5330331231134230
614102021544452
71412635012052
oct245024772560
963152732775
1022151427440
1194379a332a
124362575128
13212033081c
141101d1b8d2
15899a90d95
hex52853f570

22151427440 has 80 divisors (see below), whose sum is σ = 52439670432. Its totient is φ = 8700122112.

The previous prime is 22151427439. The next prime is 22151427523. The reversal of 22151427440 is 4472415122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 22151427397 and 22151427406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1692602 + ... + 1705638.

Almost surely, 222151427440 is an apocalyptic number.

22151427440 is a gapful number since it is divisible by the number (20) 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 22151427440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26219835216).

22151427440 is an abundant number, since it is smaller than the sum of its proper divisors (30288242992).

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

22151427440 is a wasteful number, since it uses less digits than its factorization.

22151427440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13434 (or 13428 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The spelling of 22151427440 in words is "twenty-two billion, one hundred fifty-one million, four hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 317 335 536 634 670 1072 1268 1340 1585 2536 2680 3170 5072 5360 6340 12680 13037 21239 25360 26074 42478 52148 65185 84956 104296 106195 130370 169912 208592 212390 260740 339824 424780 521480 849560 873479 1042960 1699120 1746958 3493916 4132729 4367395 6987832 8265458 8734790 13975664 16530916 17469580 20663645 33061832 34939160 41327290 66123664 69878320 82654580 165309160 276892843 330618320 553785686 1107571372 1384464215 2215142744 2768928430 4430285488 5537856860 11075713720 22151427440