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22769047040 = 29518149139
BaseRepresentation
bin10101001101001001…
…000001011000000000
32011202210222102200112
4111031021001120000
5333112334001130
614243203410452
71434144464225
oct251511013000
964683872615
1022769047040
119724596053
1244b5383a28
1321bb2881cc
14115dd6d94c
158d3dde495
hex54d241600

22769047040 has 80 divisors (see below), whose sum is σ = 54895080240. Its totient is φ = 9057116160.

The previous prime is 22769047031. The next prime is 22769047061. The reversal of 22769047040 is 4074096722.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 438791 + ... + 487929.

It is an arithmetic number, because the mean of its divisors is an integer number (686188503).

Almost surely, 222769047040 is an apocalyptic number.

22769047040 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 22769047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27447540120).

22769047040 is an abundant number, since it is smaller than the sum of its proper divisors (32126033200).

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

22769047040 is an equidigital number, since it uses as much as digits as its factorization.

22769047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49343 (or 49327 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 22769047040 in words is "twenty-two billion, seven hundred sixty-nine million, forty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 181 256 320 362 512 640 724 905 1280 1448 1810 2560 2896 3620 5792 7240 11584 14480 23168 28960 46336 49139 57920 92672 98278 115840 196556 231680 245695 393112 463360 491390 786224 982780 1572448 1965560 3144896 3931120 6289792 7862240 8894159 12579584 15724480 17788318 25159168 31448960 35576636 44470795 62897920 71153272 88941590 125795840 142306544 177883180 284613088 355766360 569226176 711532720 1138452352 1423065440 2276904704 2846130880 4553809408 5692261760 11384523520 22769047040