Search a number
-
+
1222890444 = 2232172968903
BaseRepresentation
bin100100011100011…
…1101001111001100
310011020002021022200
41020320331033030
510001024443234
6321202441500
742206253156
oct11070751714
93136067280
101222890444
11578320766
122a1663290
1316647a419
14b85abad6
157255cd99
hex48e3d3cc

1222890444 has 72 divisors (see below), whose sum is σ = 3385942560. Its totient is φ = 370417152.

The previous prime is 1222890437. The next prime is 1222890491. The reversal of 1222890444 is 4440982221.

1222890444 is a `hidden beast` number, since 122 + 2 + 8 + 90 + 444 = 666.

It is a super-2 number, since 2×12228904442 = 2990922076053034272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1222890399 and 1222890408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16704 + ... + 52199.

It is an arithmetic number, because the mean of its divisors is an integer number (47026980).

Almost surely, 21222890444 is an apocalyptic number.

It is an amenable number.

1222890444 is an abundant number, since it is smaller than the sum of its proper divisors (2163052116).

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

1222890444 is a wasteful number, since it uses less digits than its factorization.

1222890444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68959 (or 68954 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1222890444 is about 34969.8505001094. The cubic root of 1222890444 is about 1069.3729239807.

The spelling of 1222890444 in words is "one billion, two hundred twenty-two million, eight hundred ninety thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 306 348 493 522 612 986 1044 1479 1972 2958 4437 5916 8874 17748 68903 137806 206709 275612 413418 620127 826836 1171351 1240254 1998187 2342702 2480508 3514053 3996374 4685404 5994561 7028106 7992748 10542159 11989122 14056212 17983683 21084318 23978244 33969179 35967366 42168636 67938358 71934732 101907537 135876716 203815074 305722611 407630148 611445222 1222890444