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193014144 = 273355849
BaseRepresentation
bin10111000000100…
…10100110000000
3111110012010122000
423200102212000
5343402423034
631052544000
74532410311
oct1340224600
9443163560
10193014144
1199a51424
1254782000
1330cac66b
141b8c4608
1511e29599
hexb812980

193014144 has 64 divisors (see below), whose sum is σ = 569670000. Its totient is φ = 64336896.

The previous prime is 193014127. The next prime is 193014161. The reversal of 193014144 is 441410391.

It is an interprime number because it is at equal distance from previous prime (193014127) and next prime (193014161).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24469 + ... + 31380.

Almost surely, 2193014144 is an apocalyptic number.

It is an amenable number.

193014144 is an abundant number, since it is smaller than the sum of its proper divisors (376655856).

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

193014144 is an equidigital number, since it uses as much as digits as its factorization.

193014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55872 (or 55854 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 193014144 is about 13892.9530338226. The cubic root of 193014144 is about 577.9137732908.

The spelling of 193014144 in words is "one hundred ninety-three million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 55849 111698 167547 223396 335094 446792 502641 670188 893584 1005282 1340376 1507923 1787168 2010564 2680752 3015846 3574336 4021128 5361504 6031692 7148672 8042256 10723008 12063384 16084512 21446016 24126768 32169024 48253536 64338048 96507072 193014144