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2254227372 = 2232315213877
BaseRepresentation
bin1000011001011100…
…1100011110101100
312211002201121121200
42012113030132230
514104040233442
61011403525500
7106601421315
oct20627143654
95732647550
102254227372
11a574a8431
1252ab29890
1329c039c67
1417555560c
15d2d7e34c
hex865cc7ac

2254227372 has 72 divisors (see below), whose sum is σ = 5894808192. Its totient is φ = 725587200.

The previous prime is 2254227361. The next prime is 2254227373. The reversal of 2254227372 is 2737224522.

2254227372 is a `hidden beast` number, since 22 + 542 + 27 + 3 + 72 = 666.

2254227372 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2254227373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 579498 + ... + 583374.

It is an arithmetic number, because the mean of its divisors is an integer number (81872336).

Almost surely, 22254227372 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 2254227372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947404096).

2254227372 is an abundant number, since it is smaller than the sum of its proper divisors (3640580820).

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

2254227372 is a wasteful number, since it uses less digits than its factorization.

2254227372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4439 (or 4434 counting only the distinct ones).

The product of its digits is 94080, while the sum is 36.

The square root of 2254227372 is about 47478.7044052384. The cubic root of 2254227372 is about 1311.1908391482.

The spelling of 2254227372 in words is "two billion, two hundred fifty-four million, two hundred twenty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 521 558 1042 1116 1563 2084 3126 3877 4689 6252 7754 9378 11631 15508 16151 18756 23262 32302 34893 46524 48453 64604 69786 96906 120187 139572 145359 193812 240374 290718 360561 480748 581436 721122 1081683 1442244 2019917 2163366 4039834 4326732 6059751 8079668 12119502 18179253 24239004 36358506 62617427 72717012 125234854 187852281 250469708 375704562 563556843 751409124 1127113686 2254227372