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22423013352 = 23332314993011
BaseRepresentation
bin10100111000100001…
…000000011111101000
32010212200212002201000
4110320201000133220
5331410242411402
614145002555000
71422443316525
oct247041003750
963780762630
1022423013352
11956722a8a3
124419508a60
13216469044c
14112a01614c
158b383ac1c
hex5388407e8

22423013352 has 128 divisors (see below), whose sum is σ = 65059200000. Its totient is φ = 7142224320.

The previous prime is 22423013317. The next prime is 22423013357. The reversal of 22423013352 is 25331032422.

22423013352 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 301 + 3 + 352 = 666.

It is a super-3 number, since 3×224230133523 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22423013357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7445527 + ... + 7448537.

It is an arithmetic number, because the mean of its divisors is an integer number (508275000).

Almost surely, 222423013352 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 22423013352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32529600000).

22423013352 is an abundant number, since it is smaller than the sum of its proper divisors (42636186648).

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

22423013352 is a wasteful number, since it uses less digits than its factorization.

22423013352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 22423013352 its reverse (25331032422), we get a palindrome (47754045774).

The spelling of 22423013352 in words is "twenty-two billion, four hundred twenty-three million, thirteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1499 1656 2484 2998 3011 4497 4968 5996 6022 8994 9033 11992 12044 13491 17988 18066 24088 26982 27099 34477 35976 36132 40473 53964 54198 68954 69253 72264 80946 81297 103431 107928 108396 137908 138506 161892 162594 206862 207759 216792 275816 277012 310293 323784 325188 413724 415518 554024 620586 623277 650376 827448 831036 930879 1241172 1246554 1662072 1861758 1869831 2482344 2493108 3723516 3739662 4513489 4986216 7447032 7479324 9026978 13540467 14958648 18053956 27080934 36107912 40621401 54161868 81242802 103810247 108323736 121864203 162485604 207620494 243728406 311430741 324971208 415240988 487456812 622861482 830481976 934292223 974913624 1245722964 1868584446 2491445928 2802876669 3737168892 5605753338 7474337784 11211506676 22423013352