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1221337920 = 263511115657
BaseRepresentation
bin100100011001100…
…0010001101000000
310011010011101122210
41020303002031000
510000130303140
6321105302120
742160125645
oct11063021500
93133141583
101221337920
11577460290
122a1034940
1316605587a
14b82c5dcc
1572352d80
hex48cc2340

1221337920 has 112 divisors (see below), whose sum is σ = 4230307008. Its totient is φ = 296079360.

The previous prime is 1221337891. The next prime is 1221337939. The reversal of 1221337920 is 297331221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 47269 + ... + 68388.

Almost surely, 21221337920 is an apocalyptic number.

1221337920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221337920 is an abundant number, since it is smaller than the sum of its proper divisors (3008969088).

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

1221337920 is a wasteful number, since it uses less digits than its factorization.

1221337920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115688 (or 115678 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1221337920 is about 34947.6454142479. The cubic root of 1221337920 is about 1068.9201905366.

The spelling of 1221337920 in words is "one billion, two hundred twenty-one million, three hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 115657 231314 346971 462628 578285 693942 925256 1156570 1272227 1387884 1734855 1850512 2313140 2544454 2775768 3469710 3701024 3816681 4626280 5088908 5551536 6361135 6939420 7402048 7633362 9252560 10177816 11103072 12722270 13878840 15266724 18505120 19083405 20355632 22206144 25444540 27757680 30533448 37010240 38166810 40711264 50889080 55515360 61066896 76333620 81422528 101778160 111030720 122133792 152667240 203556320 244267584 305334480 407112640 610668960 1221337920