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2254143552 = 26329571709
BaseRepresentation
bin1000011001011011…
…1000000001000000
312211002120100122020
42012112320001000
514104030043202
61011402041440
7106600622043
oct20626700100
95732510566
102254143552
11a57450461
1252aaa9280
1329c00aa6b
14175532c5a
15d2d645bc
hex865b8040

2254143552 has 112 divisors (see below), whose sum is σ = 6189268800. Its totient is φ = 723179520.

The previous prime is 2254143499. The next prime is 2254143559. The reversal of 2254143552 is 2553414522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2254143559) 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, 3178974 + ... + 3179682.

Almost surely, 22254143552 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 2254143552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094634400).

2254143552 is an abundant number, since it is smaller than the sum of its proper divisors (3935125248).

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

2254143552 is a wasteful number, since it uses less digits than its factorization.

2254143552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1314 counting only the distinct ones).

The product of its digits is 48000, while the sum is 33.

The square root of 2254143552 is about 47477.8216854986. The cubic root of 2254143552 is about 1311.1745874042.

The spelling of 2254143552 in words is "two billion, two hundred fifty-four million, one hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 571 696 709 928 1142 1392 1418 1713 1856 2127 2284 2784 2836 3426 4254 4568 5568 5672 6852 8508 9136 11344 13704 16559 17016 18272 20561 22688 27408 33118 34032 36544 41122 45376 49677 54816 61683 66236 68064 82244 99354 109632 123366 132472 136128 164488 198708 246732 264944 328976 397416 404839 493464 529888 657952 794832 809678 986928 1059776 1214517 1315904 1589664 1619356 1973856 2429034 3179328 3238712 3947712 4858068 6477424 9716136 11740331 12954848 19432272 23480662 25909696 35220993 38864544 46961324 70441986 77729088 93922648 140883972 187845296 281767944 375690592 563535888 751381184 1127071776 2254143552