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10222829763420 = 22351734072941703
BaseRepresentation
bin1001010011000011000000…
…1000101111101101011100
31100012021220120202002020010
42110300300020233231130
52314442323404412140
633424145252123220
72103401152155321
oct224606010575534
940167816662203
1010222829763420
11329152899039a
121191305006510
135920161a0941
14274b05266b48
1512adbc79b880
hex94c3022fb5c

10222829763420 has 96 divisors (see below), whose sum is σ = 30316589549568. Its totient is φ = 2564975875072.

The previous prime is 10222829763409. The next prime is 10222829763467. The reversal of 10222829763420 is 2436792822201.

It is a self number, because there is not a number n which added to its sum of digits gives 10222829763420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2004289 + ... + 4945991.

It is an arithmetic number, because the mean of its divisors is an integer number (315797807808).

Almost surely, 210222829763420 is an apocalyptic number.

10222829763420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222829763420 is an abundant number, since it is smaller than the sum of its proper divisors (20093759786148).

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

10222829763420 is a wasteful number, since it uses less digits than its factorization.

10222829763420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945139 (or 2945137 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 10222829763420 in words is "ten trillion, two hundred twenty-two billion, eight hundred twenty-nine million, seven hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 3407 6814 10221 13628 17035 20442 34070 40884 51105 57919 68140 102210 115838 173757 204420 231676 289595 347514 579190 695028 868785 1158380 1737570 2941703 3475140 5883406 8825109 11766812 14708515 17650218 29417030 35300436 44125545 50008951 58834060 88251090 100017902 150026853 176502180 200035804 250044755 300053706 500089510 600107412 750134265 1000179020 1500268530 3000537060 10022382121 20044764242 30067146363 40089528484 50111910605 60134292726 100223821210 120268585452 150335731815 170380496057 200447642420 300671463630 340760992114 511141488171 601342927260 681521984228 851902480285 1022282976342 1703804960570 2044565952684 2555707440855 3407609921140 5111414881710 10222829763420