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21222750720 = 293519145441
BaseRepresentation
bin10011110000111110…
…010111101000000000
32000210001100102220110
4103300332113220000
5321431011010340
613425525111320
71350630255543
oct236076275000
960701312813
1021222750720
119000764806
124143558540
132002b06582
14105485885a
1584329c680
hex4f0f97a00

21222750720 has 160 divisors (see below), whose sum is σ = 71417839680. Its totient is φ = 5361500160.

The previous prime is 21222750707. The next prime is 21222750721. The reversal of 21222750720 is 2705722212.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (21222750721) 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, 73200 + ... + 218640.

It is an arithmetic number, because the mean of its divisors is an integer number (446361498).

Almost surely, 221222750720 is an apocalyptic number.

21222750720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35708919840).

21222750720 is an abundant number, since it is smaller than the sum of its proper divisors (50195088960).

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

21222750720 is a wasteful number, since it uses less digits than its factorization.

21222750720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145486 (or 145470 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The spelling of 21222750720 in words is "twenty-one billion, two hundred twenty-two million, seven hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 512 570 608 640 760 768 912 960 1140 1216 1280 1520 1536 1824 1920 2280 2432 2560 3040 3648 3840 4560 4864 6080 7296 7680 9120 9728 12160 14592 18240 24320 29184 36480 48640 72960 145441 145920 290882 436323 581764 727205 872646 1163528 1454410 1745292 2181615 2327056 2763379 2908820 3490584 4363230 4654112 5526758 5817640 6981168 8290137 8726460 9308224 11053516 11635280 13816895 13962336 16580274 17452920 18616448 22107032 23270560 27633790 27924672 33160548 34905840 37232896 41450685 44214064 46541120 55267580 55849344 66321096 69811680 74465792 82901370 88428128 93082240 110535160 111698688 132642192 139623360 165802740 176856256 186164480 221070320 223397376 265284384 279246720 331605480 353712512 372328960 442140640 530568768 558493440 663210960 707425024 884281280 1061137536 1116986880 1326421920 1414850048 1768562560 2122275072 2652843840 3537125120 4244550144 5305687680 7074250240 10611375360 21222750720