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23223100032 = 273311610877
BaseRepresentation
bin10101101000001101…
…000110001010000000
32012221110100201022000
4111220031012022000
5340030103200112
614400223344000
71451330043666
oct255015061200
965843321260
1023223100032
11993791a860
124601452000
132261373912
1411a43a4c36
1590dbcd7dc
hex568346280

23223100032 has 128 divisors (see below), whose sum is σ = 74771467200. Its totient is φ = 7037291520.

The previous prime is 23223099959. The next prime is 23223100057. The reversal of 23223100032 is 23000132232.

It is a happy number.

23223100032 is a `hidden beast` number, since 2 + 322 + 310 + 0 + 0 + 32 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23223099978 and 23223100014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267423 + ... + 343454.

Almost surely, 223223100032 is an apocalyptic number.

23223100032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23223100032 is an abundant number, since it is smaller than the sum of its proper divisors (51548367168).

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

23223100032 is a wasteful number, since it uses less digits than its factorization.

23223100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610911 (or 610893 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23223100032 its reverse (23000132232), we get a palindrome (46223232264).

The spelling of 23223100032 in words is "twenty-three billion, two hundred twenty-three million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 19008 38016 610877 1221754 1832631 2443508 3665262 4887016 5497893 6719647 7330524 9774032 10995786 13439294 14661048 16493679 19548064 20158941 21991572 26878588 29322096 32987358 39096128 40317882 43983144 53757176 58644192 60476823 65974716 78192256 80635764 87966288 107514352 117288384 120953646 131949432 161271528 175932576 181430469 215028704 234576768 241907292 263898864 322543056 351865152 362860938 430057408 483814584 527797728 645086112 703730304 725721876 860114816 967629168 1055595456 1290172224 1451443752 1935258336 2111190912 2580344448 2902887504 3870516672 5805775008 7741033344 11611550016 23223100032