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421222356 = 22343741857
BaseRepresentation
bin11001000110110…
…101011111010100
31002100121022110000
4121012311133110
51330313103411
6105444131300
713303221342
oct3106653724
91070538400
10421222356
111a6850655
12b9096b30
13693621c9
143dd2a992
1526ea6956
hex191b57d4

421222356 has 120 divisors (see below), whose sum is σ = 1159854696. Its totient is φ = 133125120.

The previous prime is 421222313. The next prime is 421222363. The reversal of 421222356 is 653222124.

It is a happy number.

421222356 is a `hidden beast` number, since 421 + 2 + 2 + 235 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 131882256 + 289340100 = 11484^2 + 17010^2 .

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 39 ways as a sum of consecutive naturals, for example, 491080 + ... + 491936.

Almost surely, 2421222356 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 421222356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579927348).

421222356 is an abundant number, since it is smaller than the sum of its proper divisors (738632340).

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

421222356 is a wasteful number, since it uses less digits than its factorization.

421222356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 940 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 421222356 is about 20523.7022975875. The cubic root of 421222356 is about 749.6130483923.

The spelling of 421222356 in words is "four hundred twenty-one million, two hundred twenty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 41 54 74 81 82 108 111 123 148 162 164 222 246 324 333 369 444 492 666 738 857 999 1107 1332 1476 1517 1714 1998 2214 2571 2997 3034 3321 3428 3996 4428 4551 5142 5994 6068 6642 7713 9102 10284 11988 13284 13653 15426 18204 23139 27306 30852 31709 35137 40959 46278 54612 63418 69417 70274 81918 92556 95127 105411 122877 126836 138834 140548 163836 190254 210822 245754 277668 285381 316233 380508 421644 491508 570762 632466 856143 948699 1141524 1264932 1300069 1712286 1897398 2568429 2600138 2846097 3424572 3794796 3900207 5136858 5200276 5692194 7800414 10273716 11384388 11700621 15600828 23401242 35101863 46802484 70203726 105305589 140407452 210611178 421222356