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23422310016 = 273715755501
BaseRepresentation
bin10101110100000101…
…000001011010000000
32020110100012122000120
4111310011001122000
5340432102410031
614432101220240
71456266231060
oct256405013200
966410178016
1023422310016
119a2a313206
124658101680
132293712451
1411c2a1d3a0
1592142da96
hex574141680

23422310016 has 128 divisors (see below), whose sum is σ = 71557618560. Its totient is φ = 6649344000.

The previous prime is 23422310011. The next prime is 23422310029. The reversal of 23422310016 is 61001322432.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×234223100162 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (23422310011) 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, 394266 + ... + 449766.

It is an arithmetic number, because the mean of its divisors is an integer number (559043895).

Almost surely, 223422310016 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 23422310016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35778809280).

23422310016 is an abundant number, since it is smaller than the sum of its proper divisors (48135308544).

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

23422310016 is a wasteful number, since it uses less digits than its factorization.

23422310016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55682 (or 55670 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23422310016 its reverse (61001322432), we get a palindrome (84423632448).

The spelling of 23422310016 in words is "twenty-three billion, four hundred twenty-two million, three hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 157 168 192 224 314 336 384 448 471 628 672 896 942 1099 1256 1344 1884 2198 2512 2688 3297 3768 4396 5024 6594 7536 8792 10048 13188 15072 17584 20096 26376 30144 35168 52752 55501 60288 70336 105504 111002 140672 166503 211008 222004 333006 388507 422016 444008 666012 777014 888016 1165521 1332024 1554028 1776032 2331042 2664048 3108056 3552064 4662084 5328096 6216112 7104128 8713657 9324168 10656192 12432224 17427314 18648336 21312384 24864448 26140971 34854628 37296672 49728896 52281942 60995599 69709256 74593344 104563884 121991198 139418512 149186688 182986797 209127768 243982396 278837024 365973594 418255536 487964792 557674048 731947188 836511072 975929584 1115348096 1463894376 1673022144 1951859168 2927788752 3346044288 3903718336 5855577504 7807436672 11711155008 23422310016